Rewrite in simplest rational exponent form x^1/2*X^1/4

Step-by-step explanation:

First, let's examine our original statement.

Using exponent rules, we know that if we have , then simplified, the answer will be equivalent to .

So we can simplify this by adding the exponents and .

Converting   into fourths gets us .

.

So we now have .

When we have a number to a fraction power, it's the same thing as taking the denominator root of the base to the numerator power.

Basically, this becomes

. (The numerator is what we raise x to the power of, the denominator is the root we take of that).

Hope this helped!

x ^ (3/4)

Step-by-step explanation:

x^1/2*X^1/4

When we multiply and the bases are the same we can add the exponents

x ^ ( 1/2 + 1/4)

x ^ ( 2/4 + 1/4)

x ^ (3/4)

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.